Hello
I remember the thread and thought about it since. :-/
Think about this like that :
A definite air flow cause a definite depression above the piston. This depression represent a certain force, say equal to 20 grams for example. The pistons' weight and rubber resistance take maybe 10 grams out of that force. If you have no spring, you've 10 grams left to lift the piston if you've some spring, you need to trade some part of these 10 grams to counter act the spring force. So the piston won't raise as high as it would without the spring.
Of course this is not as simple as I describe it because when the piston lift it modifies the dimensions of the air passageway and thus change the air flow and depression value. :-?
So my understanding of this matter is that removing springs is like making bigger holes or grinding the piston and result in a quicker response to get to the equilibrium point which will be richer because the piston will go somewhat higher
Putting a stiffer spring or reducing the holes size or having stiffer diaphragms force the piston to stay lower so give a somewhat leaner mixture (air flow is more restricted around the needle jet ).
Of course, every other parameter being kept equal.
My explanations are too simplistic of course because there are a lot of transient responses and the oscillation of the air column in the carb to take into account so getting a model of what happens really into the carb is wayyyy above our heads IMHO.

This is why I suggest to buy the two set of springs and try for yourself, without, with weak or with stiff springs. It is not that costly and fun. It is also totally reversible.
And it shows.